How would the story play out if Padme convinced Anakin to stay on Coruscant (without bringing Anakin back to the light)?

I imagine Vader would report his desire to Sidious to stay with Padme. He would say that she's almost due to give birth and he wants to be there for the event. Sidious, displeased, will show some disdain, but will ultimately agree to go to Mustafar himself. He knows he's still in that phase that he needs to keep Vader "happy" in order to control him.

Obi Wan will go to see Padme to figure out where Anakin is, but he will find Vader there with her. Obi Wan tries to convince Vader to surrender, but to no avail. Vader tells Padme to leave so that he and Obi Wan can duke it out. Padme stays and asks her to listen to her. She wants Anakin to be there for her baby. Vader doesn't listen and yells at her to leave. She obliges. Obi Wan and Vader begin their duel in the condo while Padme leaves, concerned for both her husband and her friend. She knows one might die today, but she feels helpless. She looks back with fear and uncertainty, but has no strength to stop the fight.

Meanwhile, Yoda is on his way to the Emperor's office, only to see Sidious's ship take off. With Sidious's departure, Yoda realizes it is not yet his time to fight the Dark Lord of the Sith. Instead, he chooses to save that fight for another day. In the mean time, he senses the struggle between Obi Wan and Vader and decides to attempt to alleviate that situation.

Much like on Mustafar, Vader is strong, agile, and generally has the upper hand against his old master, but Obi Wan's defensive tactics keep Vader from delivering any serious blows. The condo Anakin once shared with his love has been destroyed. The master and apprentice continue their fight on the balcony. Obi Wan pushes Anakin off the balcony, but Vader is powerful. He uses the force to pull on Obi Wan, but Obi Wan grabs firmly to the railing of the balcony. Vader uses this time to his advantage and slingshots himself back to that balcony while Obi Wan tries to simply not be pulled down. It was the perfect distraction. The duel continues.

Yoda arrives and finds Padme. She tells the Grand Master of what is happening. Rather than join the fight, as he initially intended to do, Yoda escorts the Naboo Senator to safety. 

Vader senses Yoda's presence. He feels Padme's distance growing with the Jedi Master. He fears losing Padme. As such, he delivers the strongest force push he can on Obi Wan. Obi Wan becomes incapacitated as he hits a wall in the condo. Vader pursues Padme and Yoda.

Yoda can feel Vader's darkness growing. He knows Vader is coming after Padme and that a new duel between himself and the fallen apprentice will ensue. Before that can happen, Senator Organa arrives in his speeder. He comes to help Padme get aboard. As the senators fly off, Yoda draws his lightsaber. Vader arrives and can only watch his love disappear into the sky. Yoda leaps at full speed at The Chosen One, only to be blocked. Yoda recognized this anger. It was the same hatred he sensed from Anakin on Tatooine as he struck down the Tusken Raiders. Yoda realizes this was a going to be a fight to the death. 

The light of both the old master's and young apprentice's swords flicker in all directions. They are both moving at full speed to cut each other off. Both are attempting to kill the other quickly. Yoda makes one wrong jump and leaps past Vader from behind. Before Yoda can redirect himself, Vader force pushes Yoda into a nearby pillar and immediately uses the force to throw Yoda's lightsaber off the building, down into the lower abyss of Coruscant. 

Vader approaches his old master and gloats "Not even the wisest and most powerful Jedi of the Order can defeat me." Yoda realizes it's his end. As Vader lifts his lightsaber for the final blow, Yoda gives one last force push to throw Vader away from him. Vader catches himself just a second before falling off the edge. Just as quickly as the dark lord catches himself, Obi Wan reappears right next to him and attempts to slash apprentice with his lightsaber. Vader had not expected this. He loses his footing and falls off the building. 

Obi Wan and Yoda investigate. As they look over the edge, they see Vader rising up in a speeder. He kicks out the original pilot of the speeder, takes control of the vehicle, and flies in Padme's direction. He realized he cannot defeat Yoda and Obi Wan alone in this setting. He will pursue his love and live to fight another day.

What do you think of this scenario? What changes would you make?